Anisimov, V. V.2019-02-122019-02-1219980094-9000http://hdl.handle.net/11693/49312Limit theorems for nonhomogenous in time hierarchical Markov processes admitting the consolidation of states are studied. Noiton of quasi-Markov processes is introduced. The theorem on asymptotic consolidation in the class of switching processes is used in the proof. As an application asymptotic properties of some models of nonhomogenous in time queueing systems with local characteristics depending on the current state and a random Markov environment are investigated.EnglishArticle1547-7363